A complementary drug delivery sheath for implantable medical devices. The complementary drug delivery sheath is covered, impregnated or otherwise carries one or more drugs. The complementary drug-delivery sheaths are manufactured separately from to the implantable device and are operationally combined with the device subsequent to the devices manufacture and/or sterilization. For example, embodiments of the complementary drug-delivery sheaths may be configured, for example, to attain an implanted position adjacent to one or more surfaces of an implantable medical device. In certain embodiments, the sheath is configured in the form of a glove, pocket, pouch, or the like to receive and to partially or completely wrap around or envelop an implantable medical device. Embodiments of the complementary drug delivery sheath may be implanted into the recipient prior to, concurrently with, or subsequent to the implantation of the implantable medical device.